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Finding the Fourth Proportional to 467.46, 645.02 and 320.44

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Solution

The fourth proportional to 467.46, 645.02 and 320.44 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 645.02 = 320.44 : x
  2. Step 2: Convert to fraction form
    467.46/645.02 = 320.44/x
  3. Step 3: Cross multiply
    467.46x = 645.02 × 320.44
  4. Step 4: Simplify right side
    467.46x = 206,690.21
  5. Step 5: Solve for x
    x = 206,690.21/467.46
  6. Step 6: Final answer
    x = 442.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.